ZarankiewiczDB,

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z(3,3 | 3,3) = 27

$I$$I$$I$
$I$$\alpha$$\alpha^2$
$I$$\alpha^2$$\alpha$

The quotient matrix for the finite projective plane of order 3. $I$ is the identity, and $\alpha$ is a 3-cycle.

weight = 27, submitted by Andrew Kay on April 22nd, 2016 (link, raw)

$I$$I$$\alpha$
$I$$\alpha$$I$
$\alpha$$I$$I$

$I$ is the identity and $\alpha$ is a 3-cycle. The $I$ entries form an extremal 3x3 rectangle-free matrix, showing that the finite projective plane of order 3 is sub-similar.

weight = 27, submitted by Andrew Kay on April 22nd, 2016 (link, raw)

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